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3 years ago

8

Noah's oven thermometer gives a reading that is 2% greater than the actual temperature if the actual temperature is 350°F what w

as the motor reading be

1 answer:

blsea [12.9K]3 years ago

6 0

Answer:

<h2>357°F </h2>

Step-by-step explanation:

Step one:

given data

actual reading= 350°F

thermometer reading 2% of the actual reading

Step two:

Required:

The thermometer reading

let us find 2% of 350°F

2/100*350°

=0.02*350

=7°F

Hence the thermometer reading is 7°F greater than 350°F

The thermometer reading is 350+7=357°F

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Norma-Jean [14]

Answer:

There are 120 people in the marching band.

Step-by-step explanation:

Let no. of people in the band be x.

In the first rectangular arrangement,

Width of rectangle ( $w_{1}$ ) = w people.

Length of rectangle ( $l_{1}$ ) = (w-7) people

Therefore,

no. of people in the band(x) = Area of the rectangle = Product of width and Length

x = width $\times$ length

x = $w\times (w-7)$ (equation 1);

In the second rectangular arrangement,

Width of rectangle ( $w_{2}$ ) = (w-3) people.

Length of rectangle ( $l_{2}$ ) = (w-5) people

Therefore,

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x = $(w-3)\times(w-5)$ (equation 2);

Therefore, from equation 1 and equation 2 , we get,

$w\times(w-7)=(w-3)\times(w-5)$

$w^{2}-7w=w^{2} - 8w + 15$

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Therefore,

no. of people in the marching band = 120 people

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3 years ago

Which function is increasing at the highest rate?

prisoha [69]

Answer:

Option B: $12x - 6y = -24$

Step-by-step explanation:

A function is said to be increasing if it has a slope greater than 0.

The function with the largest slope has the highest increasing rate.

Here, for the graph in option A, the function is decreasing with increasing $x$ . So, it has a negative slope.

We need to convert equation of option B into standard form and then determine its slope.

The standard form of a straight line is $y = mx + b$ , where $m$ is the slope of the line and $b$ is the y-intercept.

Now, given function is:

$12x - 6y = -24\\ 6y = 12x + 24\\ y = \frac{12}{6}x+\frac{24}{6}\\ y = 2x + 4$

Therefore, the slope is 2.

Option C:

Slope is given as,

$m_{C}=\frac{g(x_{2}-g(x_{1})}{x_{2}-x_{1}} =\frac{-4-(-5)}{2-1}=\frac{-4+5}{1}=1$

Therefore, the slope is 1.

Option D:

Equation of a line with $a$ and $b$ as $x$ and $y$ intercepts is given as,

$\frac{x}{a}+\frac{y}{b}=1$

Here, $a = 8$ and $b = -4$

∴ $\frac{x}{8}+\frac{y}{-4}=1\\ \frac{x-2y}{8}=1\\ x-2y=8\\ 2y=x-8\\y=\frac{1}{2}x-4$

Therefore, the slope is $\frac{1}{2}$ .

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Yuki888 [10]

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The number of cakes left in all= $\frac{11}{4}+\frac{5}{4}$

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